Resolutions of cones over Einstein-Sasaki spaces Academic Article

abstract

• Recently an explicit resolution of the Calabi-Yau cone over the inhomogeneous five-dimensional Einstein-Sasaki space Y2, 1 was obtained. It was constructed by specialising the parameters in the BPS limit of recently-discovered Kerr-NUT-AdS metrics in higher dimensions. We study the occurrence of such non-singular resolutions of Calabi-Yau cones in a more general context. Although no further six-dimensional examples arise as resolutions of cones over the Lp q r Einstein-Sasaki spaces, we find general classes of non-singular cohomogeneity-2 resolutions of higher-dimensional Einstein-Sasaki spaces. The topologies of the resolved spaces are of the form of an R2 bundle over a base manifold that is itself an S2 bundle over an Einstein-Khler manifold.

authors

• Pope, Christopher

published proceedings

• NUCLEAR PHYSICS B

author list (cited authors)

• Lu, H., & Pope, C. N.

citation count

• 18

publication date

• October 2007

publisher

• Elsevier  Publisher

published in

• Nuclear Physics B  Journal

Digital Object Identifier (DOI)

• 10.1016/j.nuclphysb.2007.04.017

URI

• https://hdl.handle.net/1969.1/178446

start page

• 171

end page

• 188

volume

• 782

issue

• 3

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.nuclphysb.2007.04.017